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商宇; 冯莹莹; 汪立民

doi:10.7540/j.ynu.20170074

商宇, 冯莹莹, 汪立民. 正则ω2-半群*[J]. 云南大学学报(自然科学版), 2018, 40(3): 415-422. doi: 10.7540/j.ynu.20170074

引用本文:

商宇, 冯莹莹, 汪立民. 正则ω2-半群*[J]. 云南大学学报(自然科学版), 2018, 40(3): 415-422. doi: 10.7540/j.ynu.20170074

SHANG Yu, FENG Ying-ying, WANG Li-min. Regular ω2-semigroups[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(3): 415-422. DOI: 10.7540/j.ynu.20170074

Citation:

SHANG Yu, FENG Ying-ying, WANG Li-min. Regular ω2-semigroups[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(3): 415-422. DOI: 10.7540/j.ynu.20170074

正则ω2-半群*

Regular ω2-semigroups

摘要

摘要: 正则ω2-半群可分为有核和无核2种情况.获得了无核的正则ω2-半群的一个刻画,并给出具有真核的正则ω2-半群的结构定理以及相应于这一结构的同构定理.

Abstract: Regular ω2-semigroups can be divided into two kinds,one with kernel and the other without kernels.A characterization for regular semigroups without kernels is obtained in this paper.Then the structure theorem for regular ω2-semigroups with a proper kernel,and the isomorphism theorem corresponding to this structure are also presented.

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